using OrdinaryDiffEqLowStorageRK
using Trixi

###############################################################################
# semidiscretization of the compressible Euler equations

equations = CompressibleEulerEquations1D(1.4)

initial_condition = initial_condition_convergence_test

volume_integral = VolumeIntegralFluxDifferencing(flux_ranocha)
solver = DGSEM(polydeg = 3, surface_flux = flux_hllc,
               volume_integral = volume_integral)

cells_per_dimension = (8,)

# This mapping converts [-1, 1] to [0, 2] with a non-uniform distribution of cells
mapping(xi) = ((xi + 2)^2 - 1) / 4

mesh = StructuredMesh(cells_per_dimension, mapping, periodicity = true)

semi = SemidiscretizationHyperbolic(mesh, equations, initial_condition, solver;
                                    source_terms = source_terms_convergence_test,
                                    boundary_conditions = boundary_condition_periodic)

###############################################################################
# ODE solvers, callbacks etc.

tspan = (0.0, 2.0)
ode = semidiscretize(semi, tspan)

summary_callback = SummaryCallback()

analysis_interval = 100
analysis_callback = AnalysisCallback(semi, interval = analysis_interval)

alive_callback = AliveCallback(analysis_interval = analysis_interval)

stepsize_callback = StepsizeCallback(cfl = 0.8)

callbacks = CallbackSet(summary_callback,
                        analysis_callback, alive_callback,
                        stepsize_callback)

###############################################################################
# run the simulation

sol = solve(ode, CarpenterKennedy2N54(williamson_condition = false);
            dt = 1, # solve needs some value here but it will be overwritten by the stepsize_callback
            ode_default_options()..., callback = callbacks);
